Finding the Third Proportional to 86,570 and 189,028

Step by Step Solution

1. Step 1: Write the proportion equation
   86,570 : 189,028 = 189,028 : x
2. Step 2: Convert to fraction form
   86,570/189,028 = 189,028/x
3. Step 3: Cross multiply
   86,570x = 189,028 × 189,028
4. Step 4: Simplify right side
   86,570x = 35,731,584,784
5. Step 5: Solve for x
   x = 35,731,584,784/86,570
6. Step 6: Final answer
   x = 412,747.89